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21893594080 = 255297166457
BaseRepresentation
bin10100011000111101…
…011011101111100000
32002111210122210222211
4110120331123233200
5324314230002310
614020251411504
71403354323231
oct243075335740
962453583884
1021893594080
1193153aa306
1242b0153b94
1320abaa77c7
1410b99a3088
15882110c8a
hex518f5bbe0

21893594080 has 96 divisors (see below), whose sum is σ = 54261627840. Its totient is φ = 8336240640.

The previous prime is 21893594033. The next prime is 21893594111. The reversal of 21893594080 is 8049539812.

It is a super-2 number, since 2×218935940802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296212 + ... + 362668.

It is an arithmetic number, because the mean of its divisors is an integer number (565225290).

Almost surely, 221893594080 is an apocalyptic number.

21893594080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21893594080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27130813920).

21893594080 is an abundant number, since it is smaller than the sum of its proper divisors (32368033760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21893594080 is a wasteful number, since it uses less digits than its factorization.

21893594080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66572 (or 66564 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 21893594080 in words is "twenty-one billion, eight hundred ninety-three million, five hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 71 80 116 142 145 160 232 284 290 355 464 568 580 710 928 1136 1160 1420 2059 2272 2320 2840 4118 4640 5680 8236 10295 11360 16472 20590 32944 41180 65888 66457 82360 132914 164720 265828 329440 332285 531656 664570 1063312 1329140 1927253 2126624 2658280 3854506 4718447 5316560 7709012 9436894 9636265 10633120 15418024 18873788 19272530 23592235 30836048 37747576 38545060 47184470 61672096 75495152 77090120 94368940 136834963 150990304 154180240 188737880 273669926 308360480 377475760 547339852 684174815 754951520 1094679704 1368349630 2189359408 2736699260 4378718816 5473398520 10946797040 21893594080